US20070216134A1 - Trailer steering system for a tractor/trailer combination - Google Patents
Trailer steering system for a tractor/trailer combination Download PDFInfo
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- US20070216134A1 US20070216134A1 US11/705,331 US70533107A US2007216134A1 US 20070216134 A1 US20070216134 A1 US 20070216134A1 US 70533107 A US70533107 A US 70533107A US 2007216134 A1 US2007216134 A1 US 2007216134A1
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- Prior art keywords
- trailer
- tractor
- axle
- angle
- steerable wheels
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B62—LAND VEHICLES FOR TRAVELLING OTHERWISE THAN ON RAILS
- B62D—MOTOR VEHICLES; TRAILERS
- B62D13/00—Steering specially adapted for trailers
- B62D13/02—Steering specially adapted for trailers for centrally-pivoted axles
- B62D13/025—Steering specially adapted for trailers for centrally-pivoted axles the pivoted movement being initiated by the coupling means between tractor and trailer
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B62—LAND VEHICLES FOR TRAVELLING OTHERWISE THAN ON RAILS
- B62D—MOTOR VEHICLES; TRAILERS
- B62D13/00—Steering specially adapted for trailers
- B62D13/04—Steering specially adapted for trailers for individually-pivoted wheels
Definitions
- the present invention generally relates to steering systems, and more particularly, to a steering system for a trailer in a tractor/trailer combination.
- FIGS. 1 and 2 A general illustration of a typical tractor/trailer combination 10 is shown in FIGS. 1 and 2 .
- the trailer 12 is pivotally connected to the tractor 14 at the junction of the fifth wheel 16 and the kingpin 18 , as generally known.
- the outside wheels of the tractor 10 generally follow the path 20 and the inside rear wheels generally follow the path 22 .
- the inside rear wheels of the trailer 12 follow the path 24 .
- the rear of the trailer 12 can undesirably ride over a curb even though the tractor 14 properly steers around the curb.
- the amount of off tracking can be significantly reduced.
- a trailer steering system for a tractor/trailer combination wherein a trailer is connected to a tractor through the connection of a kingpin with a fifth wheel, the trailer steering system including a rear axle on the trailer having steerable wheels; means for measuring an articulation angle between the tractor and the trailer during a turn; a microprocessor for calculating a desired counter-steering angle for the steerable wheels of the rear axle, based upon the articulation angle measured by said means for measuring an articulation angle, with the caveat that a counter-steering angle is only calculated when the articulation angle is greater than a set threshold angle.
- FIG. 1 is a general illustration of a typical tractor/trailer combination
- FIG. 2 is a general representation of a tractor/trailer combination during a turn
- FIG. 3 is a top plan view of a single rear axle of the trailer, shown with a steerable axle and steering mechanism in accordance with this invention
- FIG. 4 is a top plan view of the connection of the fifth wheel and the kingpin, showing elements in accordance with this invention for determining an articulation angle between the tractor and the trailer;
- FIG. 5 is a cross sectional view along the line 6 - 6 in FIG. 5 ;
- FIG. 6 is a top plan view of the connection of the fifth wheel and the kingpin, showing a second embodiment of elements for determining an articulation angle between the tractor and the trailer;
- FIG. 7 is a general illustration of the geometry involved during the steering of a tractor/trailer combination, and is the geometry employed for computations made in accordance with this invention.
- FIG. 8 is a representation of triangle KP- 1 - 2 of FIG. 7 ;
- FIG. 9 is a representation of triangle KP- 3 -IC.
- FIG. 10 is a representation of triangle IC-KP- 1 ;
- FIG. 11 is a flow chart that generally describes the trailer steering system of this invention.
- This invention provides a steering system for a tractor/trailer combination 10 . More particularly, this invention provides elements for reading the articulation angle between a tractor 14 and a trailer 12 and steering the rear wheels of the trailer 12 so that the turning radius of the trailer 12 will closely mimic the turning radius of the tractor 14 , thus reducing the occurrence of jackknifing and off tracking.
- the present invention seeks to adjust the turning radius of the trailer 12 to closely mimic the turning radius of the tractor 14 by using geometric relationships to calculate the degree the rear axles or wheels of the trailer 12 must be steered.
- the geometric relationships will be covered herein below.
- the mechanisms employed to read an articulation angle and accordingly steer the rear axles or wheels of the trailer 12 are first disclosed. It should be appreciated that these mechanisms could be employed to steer the rear axles or wheels in accordance with any desired criteria.
- tractor/trailers 10 it is common for tractor/trailers 10 to have multiple rear axles on both the tractor 14 and trailer 12 .
- Two tractor rear axles are shown for trailer 14 (as implied by the two rear wheels shown).
- FIG. 3 a trailer rear axle and associated wheels are shown with modifications in accordance with this invention. More particularly, the rear axle and wheels of a trailer 12 are modified to provide axle 26 with associated steerable wheels 28 that are caused to steer by means of a steering gear box 30 (with a pitman arm or a drag link connection 35 ), similar to the axle and gear box commonly provided on the tractor 14 front axle.
- a tie rod 33 interconnects the wheels 28 in standard fashion, as shown.
- a stepper motor 32 operates the steering gear box 30 .
- An input shaft 34 connects the steering gear box 30 and the stepper motor 32 .
- the direction of the turn and the steering angle effected at the wheels 28 are controlled by electrical commands to the stepper motor 32 .
- This same system would be employed for additional rear axles and associated wheels.
- the commands to the stepper motor will be based upon the given dimensions of various aspects of the tractor/trailer combination 10 , the angle of articulation between the tractor 14 and trailer 12 , and the geometric relationships that exist during a turn for a tractor/trailer combination. Certain assumptions are also employed to help determine the output of the stepper motor. The angle of articulation is first considered.
- the articulation angle is determined by an optical system 40 , as generally illustrated in FIGS. 4 and 5 .
- a laser distance sensor 42 or other appropriate non contact sensor or transducer is aimed at an articulation position strip 44 that is positioned in a semi-circle about the center of the fifth wheel 16 and the kingpin 18 .
- the articulation position strip 44 varies in height along its length, such that the distance between the laser distance sensor 42 and the top surface of the articulation position strip 44 changes depending upon the degree to which the tractor 14 has articulated relative to the trailer 12 .
- the distance read by the laser distance sensor 42 and the sloped surface 46 of the articulation position strip 44 will be shorter or longer.
- the relationship between the distance between the laser distance sensor 42 and the sloped surface 46 of the articulation position strip 44 and the articulation angle associated with that distance can be loaded into a table in a microprocessor 47 .
- an articulation angle ⁇ AA can be generated for use by the microprocessor 47 in calculating the desired steering angle and outputting it to the stepper motor 32 for the rear axles of the trailer 12 ( FIG. 3 ).
- the laser distance sensor 42 points down onto a sloped top surface 46 and serves to measure the distance between the laser and the sloped top surface. During a turn, the laser distance sensor moves relative to the sloped surface 46 , and, depending upon the angle of articulation between tractor 14 and trailer 12 , the distance read by the laser distance sensor 42 will be shorter or longer.
- a simple method to provide distance information is to form the articulation position strip 44 with a thick left turn end 48 and a thin right turn end 50 , with a continuous slope therebetween defining the sloped surface 46 .
- a peak could be provided at the center 52 , with thin ends 48 , 50 , or the center 52 could be thin, with ends 48 , 50 being thick.
- the distance read by laser distance sensor 42 at center 52 will, together with the distance read by laser distance sensor 42 during a turn, provide not only the articulation angle but also the direction of the turn.
- the center 52 provides a reference distance between the laser distance sensor 42 and the sloped surface, and distances read by laser distance sensor 42 that are less than this reference would indicate a left turn, while reading a distance greater that the reference would indicate a right hand turn.
- a hall effect sensor system is employed to measure articulation angles.
- a hall sensor 54 is secured to the kingpin 18 , and is aimed outwardly and aligned with magnet 56 secured to the fifth wheel lock 58 , or otherwise associated with the tractor 14 to move relative to the hall sensor 54 to indicate an articulation angle.
- the output of the hall effect sensor is indicative of the articulation angle, and the articulation angle associated with a given reading at sensor 54 can be loaded into a table in a microprocessor 47 for generating the articulation angle for use in calculating the desired steering angle for the rear axles of the trailer.
- a rear axle 26 was shown by way of example to generally show how a stepper motor 32 is to be employed to move steerable wheels of a rear axle on a trailer.
- a fore-most axle is designated by the numeral 70
- a rearward axle is designated by the numeral 72 , having associated steerable wheels 68 .
- the articulation angle generated by such means or other similar or dissimilar means can be used to calculate a desirable steering angle for the rear wheels 29 , and the stepper motor 32 can be controlled to effect the desired steering.
- the articulation angle during a turn is shown as ⁇ AA .
- This angle is read from a table as already disclosed, and a microprocessor 47 is programmed to employ the angle in calculations to output an appropriate control of stepper motor 32 . The calculations are now provided.
- FIG. 7 a tractor/trailer combination is shown making a turn, with an articulation angle ⁇ AA established between the tractor 14 and the trailer 12 .
- An instant center IC is established for the tractor 14 by extending a line through the kingpin 18 parallel to the rear axles 60 , 62 and extending a line through the front inside wheel 64 of the tractor 14 until these lines intersect, as shown.
- the wheels 66 , 68 of the rear axles 70 , 72 of the trailer 12 are turned so that a line extending through the inside wheels 66 , 68 also intersects this instant center IC. In this way, the trailer 12 turns around the same point (IC) as does the tractor 14 .
- the following definitions will be helpful in considering the geometric relationships and calculations herein below:
- ⁇ AA is the articulation angle between the tractor 14 and trailer 12 ;
- ⁇ i is the steering angle of the tractor 14 inside wheel
- LKPOS is the distance that the kingpin is offset from the midpoint between the rear axles of the tractor 14 ,
- TRTRTR is the turning radius of the tractor 14 ;
- TRTRLR is the turning radius of the trailer 12 ;
- WBTRTR is the wheel base of the tractor 14 ;
- WBTRLR is the wheel base of the trailer 12 ;
- LTROS is the distance that the instant center of the tractor is offset from the king pin along the length of the trailer
- ASTRLR is the distance between the rear axles 70 , 72 of the trailer (the axle spread distance);
- TWTRTR is the width of the tractor 14 ;
- TWTRLR is the track width of the trailer 12 ;
- ⁇ AXL1 is the steering angle for trailer rear axle 70 necessary for turning the inside wheel 66 about the instant center IC;
- ⁇ AXL2 is the steering angle for trailer rear axle 72 necessary for turning the inside wheel 68 about the instant center IC.
- a triangle KP- 1 - 2 is defined by the intersections of a side KP- 2 , extending through the kingpin 18 along the centerline of the trailer 12 ; a side KP- 1 , extending through the kingpin 18 along the centerline of the tractor 14 ; and a side 1 - 2 , extending perpendicularly through front axle 76 of tractor 14 .
- a second triangle KP- 3 -IC is defined by a side KP-IC, extending perpendicularly to the centerline of tractor 14 (also perpendicularly to the rear axles 60 , 62 through the kingpin 18 ; and a side KP- 3 , extending perpendicularly to the centerline of trailer 12 through kingpin 18 , and a side IC- 3 , which is drawn from the instant center IC of the tractor 14 to create a right angle with side KP- 3 .
- the instant center IC is the position along the perpendicular extension through kingpin 18 (i.e. the extension shown by KP-IC) where the projection P 1 of the inside wheel 64 intersects. Projection P 1 is drawn perpendicularly to the inside wheel 74 , as shown.
- a third triangle IC-KP- 1 is defined by a side IC- 1 that extends from the instant center IC to the intersection of the centerline of tractor 14 and the front axle 70 , and sides IC-KP and KP- 1 , as already disclosed.
- Triangles KP- 1 - 2 and KP- 3 -IC are congruent because they have the same interior angles, ⁇ AA , 90 , and 90 - ⁇ AA .
- ⁇ i, ALPHA, and ⁇ AA are approximately equal.
- the assumption will not significantly affect the steering system, particularly because the concern is on significantly eliminating off tracking, and this assumption will not prevent that desired effect from being realized.
- triangles KP- 1 - 2 and IC-KP- 1 are considered similar as well. With this assumption, the ratio of side 1 - 2 to side KP- 1 is treated as being equal to the ratio of side KP- 1 to side KP-IC, which is the turning radius TRTRTR.
- WBTRTR is the length measured between the front axle 76 and the midpoint between the rear axles 60 , 62
- WBTRTR and LKPOS are values that can be input into the microprocessor 47 because they will be non variable for a particular tractor/trailer 10 .
- LTROS is the length of side 3 -IC of triangle KP- 3 -IC, and is the distance to which the instant center IC is set back from the kingpin 18 along the length of the trailer 12 .
- the stepper motor 32 is controlled by the microprocessor 47 to control the rear wheels of the trailer to also steer around the instant center IC of the tractor 14 . Therefore, using additional geometric relationships, the angles ⁇ AXL 1 and ⁇ AXL 2 are calculated, and employed to calculate how to turn the rear wheels using the stepper motor 32 .
- WBTRTL is the length measured between the kingpin 18 and the midpoint of the rear axles 70 , 72 of the trailer 12 ;
- LTRTR is the length between the rear axles 70 , 72 ;
- TWTRTL is the track width of the trailer rear axles:
- tan ⁇ AXL 1 ( WBTRTL ⁇ LTROS ⁇ ( ASTRLR /2))/( Y ⁇ ( TWTRTL /2))
- tan ⁇ AXL 2 ( WBTRTL ⁇ (( WBTRTL ⁇ LKPOS )*cos ⁇ AA )+ ASTRLR /2)/((( WBTRTR ⁇ LKPOS )*(cos ⁇ AA /tan ⁇ AA )) ⁇ TWTRTL /2)
- WBTRTL, ASTRLR and TWTRTL are values that can be input into the microprocessor 47 because they will be non variable for a particular tractor/trailer 10 .
- equations (1), (2) and (3) By incorporating equations (1), (2) and (3) into equations (4) and (5), the equations for tan ⁇ AXL 1 and tan ⁇ AXL 2 can be expressed solely by given, non variable values and a single reading of, ⁇ AA , as in accordance with methods taught hereinabove.
- the articulation angle will be forced to stay close to 0 through a turn.
- the turning angles of the rear wheels of the trailer are typically limited to 45 degrees maximum.
- a dead band angle of articulation will typically be employed such that the rear wheels of the trailer will not be turned by the stepper motor until the dead band or threshold angle of articulation is reached or exceeded.
- This dead band angle ⁇ DB will be a function of the tractor and trailer lengths, and is employed such that normal turns encountered on highways and entrance/exit ramps do not actuate the system, while preserving the turning activity of the trailer rear wheels for greater angles of articulation, where needed.
- a desirable dead band angle ⁇ DB is calculated by determining through the above equations what articulation angle ⁇ AA will require the rear most inside wheel of the trailer (e.g., wheel 68 in FIG. 7 ) to be turned to the maximum 45 degrees.
- ⁇ AA are given values dependent upon the dimensions of a given tractor/trailer combination, such that ⁇ AA can be calculated.
- the value calculated for a given tractor/trailer can be used to establish the dead band angle ⁇ DB .
- the sensor system 40 and its associated microprocessor 47 and stepper motor 32 can be programmed to prevent any turning of the rear axle wheels of the trailer until the articulation angle ⁇ AA has exceeded ⁇ DB .
- the actual dead band spans an angle equal to twice ⁇ DB to account for both right and left hand turns.
- a flow chart generally describes the trailer steering system 100 .
- the relevant dimensions of the tractor 14 and trailer 12 are input into the microprocessor 47 for use in accordance with the equations provided.
- the microprocessor 47 can calculate a ⁇ DB based upon the maximum turning angle for the rear most wheels of the trailer 14 .
- the tractor/trailer may be driven and steered, and, as in box 106 , during a turn, an articulation angle, ⁇ AA , is read from an appropriate table, as taught herein.
- ⁇ AA an articulation angle
- Solving equation 8 yields ⁇ AA approximately equal to 16 degrees, indicating that the minimum turning radius of the trailer (TRTRLR) is approximately 44 feet.
- the dead band would be set to approximately 16 degrees on both a right and left hand turn, such that the dead band would actually span approximately 32 degrees along the particular system employed to read the articulation angle.
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Abstract
A tractor/trailer combination wherein a trailer is connected to a tractor through the connection of a kingpin with a fifth wheel is provided with a trailer steering system. Using given dimensions of the tractor/trailer combination and a measured articulation angle between the tractor and trailer during a turn, the wheels of the rear axles of the trailer are turned so that they turn approximately about the instant center established for the tractor. In this way, the trailer turns around approximately the same point as does the tractor, thus significantly eliminating off tracking.
Description
- This application claims the benefit of U.S. Provisional Patent Application No. 60/772,396 filed on Feb. 10, 2006.
- The present invention generally relates to steering systems, and more particularly, to a steering system for a trailer in a tractor/trailer combination.
- A general illustration of a typical tractor/
trailer combination 10 is shown inFIGS. 1 and 2 . Thetrailer 12 is pivotally connected to thetractor 14 at the junction of thefifth wheel 16 and thekingpin 18, as generally known. - As seen in
FIG. 2 , the outside wheels of thetractor 10 generally follow thepath 20 and the inside rear wheels generally follow the path 22. The inside rear wheels of thetrailer 12 follow thepath 24. This illustrates that, during a turn, the back end of thetrailer 12 takes a path that is significantly offset from the path followed by the front of thetractor 14. As a result of such off tracking, the rear of thetrailer 12 can undesirably ride over a curb even though thetractor 14 properly steers around the curb. By steering the rear wheels of thetrailer 12 in a direction opposite the turning of the front wheels of thetractor 14, the amount of off tracking can be significantly reduced. - Although attempts have been made to steer the rear wheels of a trailer in a tractor/trailer combination to reduce jackknifing and off tracking, they have not been commercially successful. Examples of such systems are included in U.S. Pat. Nos. 4,244,596; 4,463,966; 4,768,802; 4,955,630; 5,282,641; 5,329,451; 6,450,523; and 6,494,476. In order to provide systems that might be considered commercially viable, the present invention provides novel structures for reading data indicative of the steering of the tractor and steering the rear wheels of the trailer in accordance with the steering data and given specifications of the particular tractor/trailer combination.
- A trailer steering system for a tractor/trailer combination wherein a trailer is connected to a tractor through the connection of a kingpin with a fifth wheel, the trailer steering system including a rear axle on the trailer having steerable wheels; means for measuring an articulation angle between the tractor and the trailer during a turn; a microprocessor for calculating a desired counter-steering angle for the steerable wheels of the rear axle, based upon the articulation angle measured by said means for measuring an articulation angle, with the caveat that a counter-steering angle is only calculated when the articulation angle is greater than a set threshold angle.
-
FIG. 1 is a general illustration of a typical tractor/trailer combination; -
FIG. 2 is a general representation of a tractor/trailer combination during a turn; -
FIG. 3 is a top plan view of a single rear axle of the trailer, shown with a steerable axle and steering mechanism in accordance with this invention; -
FIG. 4 is a top plan view of the connection of the fifth wheel and the kingpin, showing elements in accordance with this invention for determining an articulation angle between the tractor and the trailer; -
FIG. 5 is a cross sectional view along the line 6-6 inFIG. 5 ; -
FIG. 6 is a top plan view of the connection of the fifth wheel and the kingpin, showing a second embodiment of elements for determining an articulation angle between the tractor and the trailer; -
FIG. 7 is a general illustration of the geometry involved during the steering of a tractor/trailer combination, and is the geometry employed for computations made in accordance with this invention; -
FIG. 8 is a representation of triangle KP-1-2 ofFIG. 7 ; -
FIG. 9 is a representation of triangle KP-3-IC; -
FIG. 10 is a representation of triangle IC-KP-1; and -
FIG. 11 is a flow chart that generally describes the trailer steering system of this invention. - This invention provides a steering system for a tractor/
trailer combination 10. More particularly, this invention provides elements for reading the articulation angle between atractor 14 and atrailer 12 and steering the rear wheels of thetrailer 12 so that the turning radius of thetrailer 12 will closely mimic the turning radius of thetractor 14, thus reducing the occurrence of jackknifing and off tracking. - The present invention seeks to adjust the turning radius of the
trailer 12 to closely mimic the turning radius of thetractor 14 by using geometric relationships to calculate the degree the rear axles or wheels of thetrailer 12 must be steered. The geometric relationships will be covered herein below. However, the mechanisms employed to read an articulation angle and accordingly steer the rear axles or wheels of thetrailer 12 are first disclosed. It should be appreciated that these mechanisms could be employed to steer the rear axles or wheels in accordance with any desired criteria. - As seen in
FIG. 1 , it is common for tractor/trailers 10 to have multiple rear axles on both thetractor 14 andtrailer 12. Two tractor rear axles are shown for trailer 14 (as implied by the two rear wheels shown). Referring now toFIG. 3 , a trailer rear axle and associated wheels are shown with modifications in accordance with this invention. More particularly, the rear axle and wheels of atrailer 12 are modified to provideaxle 26 with associatedsteerable wheels 28 that are caused to steer by means of a steering gear box 30 (with a pitman arm or a drag link connection 35), similar to the axle and gear box commonly provided on thetractor 14 front axle. Atie rod 33 interconnects thewheels 28 in standard fashion, as shown. Astepper motor 32 operates thesteering gear box 30. Aninput shaft 34 connects thesteering gear box 30 and thestepper motor 32. The direction of the turn and the steering angle effected at thewheels 28 are controlled by electrical commands to thestepper motor 32. This same system would be employed for additional rear axles and associated wheels. The commands to the stepper motor will be based upon the given dimensions of various aspects of the tractor/trailer combination 10, the angle of articulation between thetractor 14 andtrailer 12, and the geometric relationships that exist during a turn for a tractor/trailer combination. Certain assumptions are also employed to help determine the output of the stepper motor. The angle of articulation is first considered. - In accordance with one embodiment of the present invention, the articulation angle is determined by an
optical system 40, as generally illustrated inFIGS. 4 and 5 . Insystem 40, alaser distance sensor 42 or other appropriate non contact sensor or transducer is aimed at anarticulation position strip 44 that is positioned in a semi-circle about the center of thefifth wheel 16 and thekingpin 18. Thearticulation position strip 44 varies in height along its length, such that the distance between thelaser distance sensor 42 and the top surface of thearticulation position strip 44 changes depending upon the degree to which thetractor 14 has articulated relative to thetrailer 12. Thus, depending upon the angle of articulation betweentractor 14 andtrailer 12, the distance read by thelaser distance sensor 42 and thesloped surface 46 of thearticulation position strip 44 will be shorter or longer. The relationship between the distance between thelaser distance sensor 42 and thesloped surface 46 of thearticulation position strip 44 and the articulation angle associated with that distance can be loaded into a table in amicroprocessor 47. Thus, by reading the distance between thelaser distance sensor 42 and thesloped surface 46 and outputting this to themicroprocessor 47, an articulation angle θAA can be generated for use by themicroprocessor 47 in calculating the desired steering angle and outputting it to thestepper motor 32 for the rear axles of the trailer 12 (FIG. 3 ). - In this embodiment, the
laser distance sensor 42 points down onto asloped top surface 46 and serves to measure the distance between the laser and the sloped top surface. During a turn, the laser distance sensor moves relative to thesloped surface 46, and, depending upon the angle of articulation betweentractor 14 andtrailer 12, the distance read by thelaser distance sensor 42 will be shorter or longer. A simple method to provide distance information is to form thearticulation position strip 44 with a thickleft turn end 48 and a thinright turn end 50, with a continuous slope therebetween defining thesloped surface 46. Alternatively, a peak could be provided at thecenter 52, withthin ends center 52 could be thin, withends left turn end 48 and thinright turn end 50, the distance read bylaser distance sensor 42 atcenter 52 will, together with the distance read bylaser distance sensor 42 during a turn, provide not only the articulation angle but also the direction of the turn. In the embodiment with a thickleft turn end 48 and a thinright turn end 50, thecenter 52 provides a reference distance between thelaser distance sensor 42 and the sloped surface, and distances read bylaser distance sensor 42 that are less than this reference would indicate a left turn, while reading a distance greater that the reference would indicate a right hand turn. - In another embodiment, a hall effect sensor system is employed to measure articulation angles. In
FIG. 6 , ahall sensor 54 is secured to thekingpin 18, and is aimed outwardly and aligned withmagnet 56 secured to thefifth wheel lock 58, or otherwise associated with thetractor 14 to move relative to thehall sensor 54 to indicate an articulation angle. As will be appreciated by those skilled in the art, the output of the hall effect sensor is indicative of the articulation angle, and the articulation angle associated with a given reading atsensor 54 can be loaded into a table in amicroprocessor 47 for generating the articulation angle for use in calculating the desired steering angle for the rear axles of the trailer. InFIG. 3 , arear axle 26 was shown by way of example to generally show how astepper motor 32 is to be employed to move steerable wheels of a rear axle on a trailer. However, now more particular attention is focused on the particular dual axle trailer shown inFIG. 7 , wherein a fore-most axle is designated by thenumeral 70, having associatedsteerable wheels 66, and a rearward axle is designated by the numeral 72, having associatedsteerable wheels 68. - The articulation angle generated by such means or other similar or dissimilar means can be used to calculate a desirable steering angle for the rear wheels 29, and the
stepper motor 32 can be controlled to effect the desired steering. Referring now toFIG. 7 , the articulation angle during a turn is shown as θAA. This angle is read from a table as already disclosed, and amicroprocessor 47 is programmed to employ the angle in calculations to output an appropriate control ofstepper motor 32. The calculations are now provided. - In
FIG. 7 , a tractor/trailer combination is shown making a turn, with an articulation angle θAA established between thetractor 14 and thetrailer 12. An instant center IC is established for thetractor 14 by extending a line through thekingpin 18 parallel to therear axles wheel 64 of thetractor 14 until these lines intersect, as shown. Using geometric relationships and practical assumptions that will be described more fully below, thewheels rear axles 70, 72 of thetrailer 12 are turned so that a line extending through theinside wheels trailer 12 turns around the same point (IC) as does thetractor 14. The following definitions will be helpful in considering the geometric relationships and calculations herein below: - θAA is the articulation angle between the
tractor 14 andtrailer 12; - θ i is the steering angle of the
tractor 14 inside wheel; - LKPOS is the distance that the kingpin is offset from the midpoint between the rear axles of the
tractor 14, - TRTRTR is the turning radius of the
tractor 14; - TRTRLR is the turning radius of the
trailer 12; - WBTRTR is the wheel base of the
tractor 14; - WBTRLR is the wheel base of the
trailer 12; - LTROS is the distance that the instant center of the tractor is offset from the king pin along the length of the trailer;
- ASTRLR is the distance between the
rear axles 70, 72 of the trailer (the axle spread distance); - TWTRTR is the width of the
tractor 14; - TWTRLR is the track width of the
trailer 12; - θAXL1 is the steering angle for trailer
rear axle 70 necessary for turning theinside wheel 66 about the instant center IC; and - θAXL2 is the steering angle for trailer rear axle 72 necessary for turning the
inside wheel 68 about the instant center IC. - In
FIGS. 7-9 , it can be seen that a triangle KP-1-2 is defined by the intersections of a side KP-2, extending through thekingpin 18 along the centerline of thetrailer 12; a side KP-1, extending through thekingpin 18 along the centerline of thetractor 14; and a side 1-2, extending perpendicularly through front axle 76 oftractor 14. - A second triangle KP-3-IC is defined by a side KP-IC, extending perpendicularly to the centerline of tractor 14 (also perpendicularly to the
rear axles kingpin 18; and a side KP-3, extending perpendicularly to the centerline oftrailer 12 throughkingpin 18, and a side IC-3, which is drawn from the instant center IC of thetractor 14 to create a right angle with side KP-3. Herein, the instant center IC is the position along the perpendicular extension through kingpin 18 (i.e. the extension shown by KP-IC) where the projection P1 of theinside wheel 64 intersects. Projection P1 is drawn perpendicularly to the inside wheel 74, as shown. - A third triangle IC-KP-1 is defined by a side IC-1 that extends from the instant center IC to the intersection of the centerline of
tractor 14 and thefront axle 70, and sides IC-KP and KP-1, as already disclosed. - Triangles KP-1-2 and KP-3-IC are congruent because they have the same interior angles, θAA, 90, and 90-θAA. For purposes of simplifying calculation, it is assumed that, during a turn, θi, ALPHA, and θAA are approximately equal. The assumption will not significantly affect the steering system, particularly because the concern is on significantly eliminating off tracking, and this assumption will not prevent that desired effect from being realized. Thus, triangles KP-1-2 and IC-KP-1 are considered similar as well. With this assumption, the ratio of side 1-2 to side KP-1 is treated as being equal to the ratio of side KP-1 to side KP-IC, which is the turning radius TRTRTR. Thus, with the understanding that WBTRTR is the length measured between the front axle 76 and the midpoint between the
rear axles kingpin 18 is offset from that midpoint:
(((WBTRTL−LKPOS)tan θAA)/(WBTRTR−LKPOS))=((WBTRTR−LKPOS)/TRTRTR)
And, therefore:
TRTRTR=(WBTRTR−LKPOS)/tan θAA (1)
WBTRTR and LKPOS are values that can be input into themicroprocessor 47 because they will be non variable for a particular tractor/trailer 10. - LTROS is the length of side 3-IC of triangle KP-3-IC, and is the distance to which the instant center IC is set back from the
kingpin 18 along the length of thetrailer 12. Y is the length of side KP-3, and is the distance to which the instant center IC is offset from the centerline of thetrailer 12. From the geometry shown:
LTROS=TRTRTR*sin θAA (2)
Y=TRTRTR*cos θAA (3)
the asterisk (*) being used as a multiplication symbol herein. - According to the invention, the
stepper motor 32 is controlled by themicroprocessor 47 to control the rear wheels of the trailer to also steer around the instant center IC of thetractor 14. Therefore, using additional geometric relationships, the angles θAXL1 and θAXL2 are calculated, and employed to calculate how to turn the rear wheels using thestepper motor 32. With the understanding that WBTRTL is the length measured between thekingpin 18 and the midpoint of therear axles 70, 72 of thetrailer 12; LTRTR is the length between therear axles 70, 72; and TWTRTL is the track width of the trailer rear axles:
tan θAXL1=(WBTRTL−LTROS−(ASTRLR/2))/(Y−(TWTRTL/2)) (4)
tan θAXL2=(WBTRTL−((WBTRTL−LKPOS)*cos θAA)+ASTRLR/2)/(((WBTRTR−LKPOS)*(cos θAA/tan θAA))−TWTRTL/2) (5)
WBTRTL, ASTRLR and TWTRTL are values that can be input into themicroprocessor 47 because they will be non variable for a particular tractor/trailer 10. - By incorporating equations (1), (2) and (3) into equations (4) and (5), the equations for tan θAXL1 and tan θAXL2 can be expressed solely by given, non variable values and a single reading of, θAA, as in accordance with methods taught hereinabove.
tan θAXL1=(WBTRTL−((WBTRTR−LKPOS)*cos θAA)−ASTRTL/2)/(((WBTRTR−LKPOS)*(cos θAA/tan, θAA))−TWTRTL/2) (6)
tan θAXL2=(WBTRTL−((WBTRTR−LKPOS)*cos θAA)+ASTRTL/2)/(((WBTRTR−LKPOS)*(cos θAA/tan, θAA))−TWTRTL/2) (7) - The dual axle trailer as disclosed particularly above is very common and thus is the focus for this disclosure. However, it should be appreciated that a single axle trailer could be altered in accordance with this invention, with the equations above being altered by measuring WBTRLR as the distance between the kingpin and the single axle on the trailer, and expressing equation (4) above as:
tan θAXL=(WBTRTL−LTROS)/(Y−(TWTRTL/2))
and solving accordingly. Multiple axles of three or more can be similarly handled in accordance with the teachings herein. - It will be appreciated that the optimum operation of the invention contemplates that the articulation angle will be forced to stay close to 0 through a turn. However, the turning angles of the rear wheels of the trailer are typically limited to 45 degrees maximum. Accordingly, so that the effect of the steering of rear wheels of the trailer can be optimized, a dead band angle of articulation will typically be employed such that the rear wheels of the trailer will not be turned by the stepper motor until the dead band or threshold angle of articulation is reached or exceeded. This dead band angle θDB will be a function of the tractor and trailer lengths, and is employed such that normal turns encountered on highways and entrance/exit ramps do not actuate the system, while preserving the turning activity of the trailer rear wheels for greater angles of articulation, where needed.
- In accordance with an embodiment of this invention, a desirable dead band angle θDB is calculated by determining through the above equations what articulation angle θAA will require the rear most inside wheel of the trailer (e.g.,
wheel 68 inFIG. 7 ) to be turned to the maximum 45 degrees. Thus, θAXL2 is set to 45 degrees, and equation (7) becomes:
tan 45=1=(WBTRTL−((WBTRTR−LKPOS)*cos θAA)+ASTRLR/2)/ (((WBTRTR−LKPOS)*(cos θAA/tan θAA))−TWTRTL/2)
and, thus:
(WBTRTL−((WBTRTR−LKPOS)*cos θAA)+ASTRLR/2)=(((WBTRTR−LKPOS)*(cos θAA/tan θAA))−TWTRTL/2).
All values but θAA are given values dependent upon the dimensions of a given tractor/trailer combination, such that θAA can be calculated. The value calculated for a given tractor/trailer can be used to establish the dead band angle θDB. By establishing a dead band, thesensor system 40 and its associatedmicroprocessor 47 andstepper motor 32 can be programmed to prevent any turning of the rear axle wheels of the trailer until the articulation angle θAA has exceeded θDB. Thus, the actual dead band spans an angle equal to twice θDB to account for both right and left hand turns. - In
FIG. 11 , a flow chart generally describes thetrailer steering system 100. First, as inbox 102, the relevant dimensions of thetractor 14 andtrailer 12, as understood from the above equations and disclosure, are input into themicroprocessor 47 for use in accordance with the equations provided. As inbox 104, themicroprocessor 47 can calculate a θDB based upon the maximum turning angle for the rear most wheels of thetrailer 14. Then, the tractor/trailer may be driven and steered, and, as in box 106, during a turn, an articulation angle, θAA, is read from an appropriate table, as taught herein. As seen inFIG. 11 , if the articulation angle is less than θDB, the rear wheels are not steered, but if the articulation angle is greater than θDB, the rear wheels are steered according to the equations and geometric concepts covered herein. - An example for a calculation of a dead band angle is provided.
- Let WBTRTR=11 feet
-
- LKPOS=1 foot
- WBTRLR=38 feet
- (ASTRLR\2)=2 feet
- (TWTRLR\2)=3 feet
- Solving equation 8 yields θAA approximately equal to 16 degrees, indicating that the minimum turning radius of the trailer (TRTRLR) is approximately 44 feet. The dead band would be set to approximately 16 degrees on both a right and left hand turn, such that the dead band would actually span approximately 32 degrees along the particular system employed to read the articulation angle.
- In light of the foregoing, it should thus be evident that the process of the present invention, providing a trailer steering system, substantially improves the art. In accordance with the patent rules, only the preferred embodiments of the present invention have been described in detail herein. However, also in accordance with patent rules, the present invention is not to be limited thereto or thereby. Rather, the scope of the invention shall include all modifications and variations that fall within the scope of the attached claims.
Claims (5)
1. A trailer steering system for a tractor/trailer combination wherein a trailer is connected to a tractor through the connection of a kingpin with a fifth wheel, the trailer steering system comprising:
a rear axle on the trailer having steerable wheels;
means for measuring an articulation angle between the tractor and the trailer during a turn;
a microprocessor for calculating a desired counter-steering angle for the steerable wheels of the rear axle, based upon the articulation angle measured by said means for measuring an articulation angle, with the caveat that a counter-steering angle is only calculated when the articulation angle is greater than a set threshold angle.
2. The trailer steering system of claim 1 , wherein said means for measuring an articulation angle includes:
a laser distance sensor mounted to the trailer; and
a position strip mounted to the tractor, concentric to the fifth wheel, and providing a sloped top surface, said laser distance sensor pointing to said sloped surface and reading the distance to the sloped surface, such that the distance to the sloped surface corresponds to a particular articulation angle between the tractor and trailer.
3. The trailer steering system of claim 2 , wherein said means for measuring an articulation angle includes a hall sensor associate with the kingpin and a magnet associated with the a fifth wheel.
4. The trailer steering system of claim 1 , further comprising:
a steering gearbox mounted to steer said steerable wheels of said rear axle; and
a stepper motor, wherein said microprocessor operates the steering gearbox to effect the desired counter-steering angle.
5. The trailer steering system of claim 1 , wherein the tractor has a front axle with steerable wheels and parallel, separated rear axles, wherein the trailer includes a front-most axle having steerable wheels, the front-most axle being separated from a rearward axle having steerable wheels, and the microprocessor determines the desired counter steering angle of the steerable wheels of said front-most axle and said rearward axle, where the counter steering angle is determined according to the following equations:
tan θAXL1=(WBTRTL−((WBTRTR−LKPOS)*cos θAA)−ASTRTL/2)/(((WBTRTR−LKPOS)*(cos θAA/tan θAA))−TWTRTL/2) (6)
tan θAXL2=(WBTRTL−((WBTRTR−LKPOS)*cos θAA)+ASTRTL/2)/(((WBTRTR−LKPOS)*(cos θAA/tanθAA))−TWTRTL/2) (7)
wherein tan θAXL1 is the angle to which the steerable wheels on the front-most axle is to be turned off of the normal 0 degrees wherein the steerable wheels point parallel to the trailer length, tan θAXL2 is the angle to which the steerable wheels on the rearward axle is to be turned off of the normal 0 degrees wherein the steerable wheels point parallel to the trailer length, WBTRTL is the wheel base of the trailer measured from the kingpin to the midpoint between the front-most and rearward, WBTRTR is the wheel base of the tractor measured between the axle of the tractor having steerable wheels and the midpoint between the parallel, separated rear axles of the tractor, LKPOS is the distance that the kingpin is offset from the midpoint between the parallel, separated rear axles of the tractor, θAA is the articulation angle as measured by said means for measuring an articulation angle, ASTRTL is the distance between the front-most axle and rearward axle of the trailer, and TWTRTL is the track width of the trailer measured as the distance between the midpoints of the wheels of the rearward axle of the trailer.
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